Get all variants?..

[Ignat]

Hi everybody!
Can you help me?
I need to write such thing:
for example, I jave array:
1,2,3,4....n.
I need to get ALL variants of these numbers, that in summing = n.
Sorry, for my bad English - Im Russian, Ill try to explain:
for example, I have:
1,2,3
So all variants are:
1,1,1 (1+1+1=3)
1,2 (1+2=3)
2+1 (2+1=3)
3 (3=3)

Please, help me to get such variants..

I need this part of code to be written on Java or C#.NET.

[Marwin]

Shall the result of this operations always be the largest number of the array?
Are the numbers in the array sorted in an ascending order or are they unsorted?

Marwin

[Ignat]

I need all variants! The position of numbers is very importatnt - for example, 1+2 != 2+1. Its not the same things!
Hm.. Its not array.. I want to write function like
GetAllVariants(int n) , where n the value, like "3" in my example..

[Marwin]

Hi Ignat, I think that works how you described it (I also attached the program).

Code: Alles auswählen

public class GetAllVariants {

  public static void main (String[] args) {

    GetAllVariants(3);

  }
  
  public static void GetAllVariants (int N) {

    GetAllVariants(0, N, new String());

  }

  public static void GetAllVariants (int sum, int N, String numbers) {

    if ( sum == N ) return;
    
    for ( int number = 1; number <= N; number++ ) {

      if ( (sum + number) <= N ) {

        numbers = numbers.concat(String.valueOf(number) + "+");
        GetAllVariants(sum + number, N, numbers);
        if ( (sum + number) == N ) {
          System.out.println(numbers.substring(0, numbers.length() - 1) + " = " + String.valueOf(N));
        }
        numbers = numbers.substring(0, numbers.length() - 2);

      }

    }
    
  }
}

Regards, Marwin
---
Btw: Ignat, today I added 2-Way Mergesort, Straight 2-Way Mergesort, Natural 2-Way Mergesort and Radix Exchange-Sort. I think itll be ready soon.

[Ignat]

Oh..
What can I say, Marty?
Only one thing:
3:0!
Yes, it really what I need.
Thank you very much!

[Sumer]

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